An effective two reggeon two reggeon + particle vertex in Lipatov’s effective action and regge kinematics

Abstract

The vertex of gluon production from the interaction between two reggeons associated with projectiles and two reggeons associated with targets is studied. The vertex can be used to calculate the collision cross section of two pairs of nucleons. The transversality of the vertex is verified along with its good behavior for large longitudinal momenta, which is essential for the vertex’s applicability. Poles are discussed for the zero values of longitudinal momenta. It is found that the poles remain, in contrast to the case of one projectile.